$\begin{array}{1 1}E(X) = 0.7, V(X) = 0.21 \\E(X) = 0.7, V(X) = 0.49 \\ E(X) = 0.7, V(X) = 0 \\ E(X) = 0.7, V(X) = 0.14\end{array} $

Want to ask us a question? Click here

Browse Questions

Ad |

0 votes

0 votes

- Mean of the probability distribution = $\sum (X_i \times P(X_i))$ The Expected value of X is nothing but the mean of X.
- Standard Deviation = $\sqrt{\text{Variance}}$, where Variance $= E (X^2) - E(X)^2$

Given P (X = 0) = 30% = 0.3 and P (X = 1) = 70% = 0.7

Given this, the mean or $E (X) = 0 \times 0.3 + 1 \times 0.7 = 0.7$

$E (X^2) = 0^2 \times 0.3 + 1^2 \times 0.7 = 0.7$

Variance $= E(X^2) - E(X)^2) = 0.7 - 0.7^2 = 0.7 - 0.49 = 0.21$

Ask Question

Take Test

x

JEE MAIN, CBSE, AIPMT Mobile and Tablet App

The ultimate mobile app to help you crack your examinations

...